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Finding the Fourth Proportional to 9,269.61, 12,792 and 5,290.50

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Solution

The fourth proportional to 9,269.61, 12,792 and 5,290.50 is: 7,300.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.61 : 12,792 = 5,290.50 : x
  2. Step 2: Convert to fraction form
    9,269.61/12,792 = 5,290.50/x
  3. Step 3: Cross multiply
    9,269.61x = 12,792 × 5,290.50
  4. Step 4: Simplify right side
    9,269.61x = 67,676,076
  5. Step 5: Solve for x
    x = 67,676,076/9,269.61
  6. Step 6: Final answer
    x = 7,300.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.